WBJEE 2016 Math Solved Paper

If AB denotes : x+8y–22 = 0 (1)
BC denotes : 5x+2y–34 = 0 (2)
and CA denotes : 2x–3y+13 =0 (3)
Then solving equations (1), (2) and (3), we get
A ≡ (–2,3), B ≡ (6,2) and C ≡ (4,7).
Hence, area of ΔABc is 19 square units